Question
If the cost of painting 1 cm² is ₹2, what is the cost of painting 12l 10w 7h
Answers
GPT-4o mini
To calculate the cost of painting the walls of a room with dimensions of 12 ft(length) × 10 ft(width) × 7 ft(height), we first need to find the total surface area that needs to be painted.
Assuming we are painting only the four walls (and excluding the floor and ceiling), the surface area can be calculated as follows:
1. Calculate the area of the two pairs of walls:
- Area of the two longer walls:
\[ 2 \times (length \times height) = 2 \times (12 \text{ ft} \times 7 \text{ ft}) = 2 \times 84 \text{ ft²} = 168 \text{ ft²} \]
- Area of the two shorter walls:
\[ 2 \times (width \times height) = 2 \times (10 \text{ ft} \times 7 \text{ ft}) = 2 \times 70 \text{ ft²} = 140 \text{ ft²} \]
2. Combine the areas:
\[ \text{Total Surface Area} = 168 \text{ ft²} + 140 \text{ ft²} = 308 \text{ ft²} \]
3. Convert the total surface area from square feet to square centimeters (since 1 ft² = 929.03 cm²):
\[ \text{Total Surface Area in cm²} = 308 \text{ ft²} \times 929.03 \text{ cm²/ft²} \approx 286,803.24 \text{ cm²} \]
4. Now calculate the cost to paint this area:
\[ \text{Cost} = \text{Total Surface Area} \times \text{Cost per cm²} \]
\[ \text{Cost} = 286,803.24 \text{ cm²} \times ₹2/\text{cm²} \approx ₹573,606.48 \]
So, the cost of painting the walls is approximately **₹573,606.48**.
Assuming we are painting only the four walls (and excluding the floor and ceiling), the surface area can be calculated as follows:
1. Calculate the area of the two pairs of walls:
- Area of the two longer walls:
\[ 2 \times (length \times height) = 2 \times (12 \text{ ft} \times 7 \text{ ft}) = 2 \times 84 \text{ ft²} = 168 \text{ ft²} \]
- Area of the two shorter walls:
\[ 2 \times (width \times height) = 2 \times (10 \text{ ft} \times 7 \text{ ft}) = 2 \times 70 \text{ ft²} = 140 \text{ ft²} \]
2. Combine the areas:
\[ \text{Total Surface Area} = 168 \text{ ft²} + 140 \text{ ft²} = 308 \text{ ft²} \]
3. Convert the total surface area from square feet to square centimeters (since 1 ft² = 929.03 cm²):
\[ \text{Total Surface Area in cm²} = 308 \text{ ft²} \times 929.03 \text{ cm²/ft²} \approx 286,803.24 \text{ cm²} \]
4. Now calculate the cost to paint this area:
\[ \text{Cost} = \text{Total Surface Area} \times \text{Cost per cm²} \]
\[ \text{Cost} = 286,803.24 \text{ cm²} \times ₹2/\text{cm²} \approx ₹573,606.48 \]
So, the cost of painting the walls is approximately **₹573,606.48**.